Exponential Stability of Impulsive Fractional Switched Systems With Time Delays

被引：22

作者：

He, Danhua ^{[1
]}

Xu, Liguang ^{[2
]}

机构：

[1] Zhejiang Int Studies Univ, Dept Math, Hangzhou 310023, Peoples R China

[2] Zhejiang Univ Technol, Dept Appl Math, Hangzhou 310023, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2021年 / 68卷 / 06期

关键词：

Switches; Switched systems; Numerical stability; Stability criteria; Delay effects; Asymptotic stability; Delays; Impulsive fractional switched systems; time delays; exponential stability; Mittag-Leffler functions; ULTIMATE BOUNDEDNESS;

D O I：

10.1109/TCSII.2020.3037654

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this brief, the stability issue is addressed for a class of impulsive fractional switched systems with time delays. By establishing fractional differential delay inequalities and combining with the properties of the Mittag-Leffler function, exponential stability conditions which allow some subsystems to be unstable are derived for the addressed systems. An example is provided to show the effectiveness of our results.

引用

页码：1972 / 1976

页数：5

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